To find the equation of the linear function that models the relationship between x and y in the table, we first need to find the slope (m) of the line. The slope can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (4, 38) and (6, 58) from the table:
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10
Next, we can use the point-slope form of a linear equation to write the equation of the line:
y - y1 = m(x - x1)
y - 38 = 10(x - 4)
Simplify the equation:
y - 38 = 10x - 40
y = 10x - 2
Therefore, the equation of the linear function that models the relationship is y = 10x - 2.
Write the equation of the linear function that models the relationship shown in the table x 4 6 y 38 58
1 answer